Finite Group Databasebeta

← Group #10682871

Character table — Group #10682871

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222222222222244444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order12442346888888881212161616161616161624242424446121212121216161616242424242424484848484848484848484848484848483232323232323232323232323232323216161616484848484848484816161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11111111111-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i
χ6111111111111-1-1-1-11111111111-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−iii
χ7111111111111-1-1-1-11111111111-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−iiiii−i−i−i−i−i−iii
χ8111111111111-1-1-1-11111111111-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−i−i−iiiiiii−i−i
χ911-1-1-111111-1-1i−ii−i-1-11111-1-1-1-1ii−i−ii−i-1ii−i−i1ii−i−ii−i11-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ1011-1-1-111111-1-1i−ii−i-1-11111-1-1-1-1ii−i−ii−i-1ii−i−i1ii−i−ii−i11-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ1111-1-1-111111-1-1i−ii−i-1-11111-1-1-1-1ii−i−ii−i-1ii−i−i1ii−i−ii−i11-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ1211-1-1-111111-1-1i−ii−i-1-11111-1-1-1-1ii−i−ii−i-1ii−i−i1ii−i−ii−i11-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ1311-1-1-111111-1-1−ii−ii-1-11111-1-1-1-1−i−iii−ii-1−i−iii1−i−iii−ii11-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ1411-1-1-111111-1-1−ii−ii-1-11111-1-1-1-1−i−iii−ii-1−i−iii1−i−iii−ii11-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiiiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ1511-1-1-111111-1-1−ii−ii-1-11111-1-1-1-1−i−iii−ii-1−i−iii1−i−iii−ii11-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ1611-1-1-111111-1-1−ii−ii-1-11111-1-1-1-1−i−iii−ii-1−i−iii1−i−iii−ii11-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ17222222222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ18222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2-2-2-222222-2-22222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ1922222222-2-2-2-2222222000000002222-2-22-2-2-2-22000022-2-2-2-2000000000000000022−2−222−2−222−2−222−2−20000000000000000
χ2022222222-2-2-2-2222222000000002222-2-22-2-2-2-22000022-2-2-2-20000000000000000−2−222−2−222−2−222−2−2220000000000000000
χ2122222222-2-2-2-2-2-2-2-22200000000-2-2-2-2222222220000-2-2-2-2-2-2000000000000000022−2−222−2−2−2−222−2−2220000000000000000
χ2222222222-2-2-2-2-2-2-2-22200000000-2-2-2-2222222220000-2-2-2-2-2-20000000000000000−2−222−2−22222−2−222−2−20000000000000000
χ2322222-12-122222222-1-122222222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ2422222-12-122222222-1-122222222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ2522222-12-122222222-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111111111111100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ2622222-12-122222222-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111111111111100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ2722222-12-12222-2-2-2-2-1-1222222221111-2-2-11111-1-2-2-2-211-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000002i2i−2i−2i−i−i−i−iiiii0000
χ2822222-12-12222-2-2-2-2-1-1222222221111-2-2-11111-1-2-2-2-211-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000−2i−2i2i2iiiii−i−i−i−i0000
χ2922222-12-12222-2-2-2-2-1-1-2-2-2-2-2-2-2-21111-2-2-11111-1222211-1-1-1-111111111-1-1-1-1-1-1-1-1000000000000000000003−33−3−33−330000
χ3022222-12-12222-2-2-2-2-1-1-2-2-2-2-2-2-2-21111-2-2-11111-1222211-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000−33−333−33−30000
χ312222-22-22000022-2-22222−2−222−2−2222200-20000-22−22−2-2-2000022−2−222−2−222−2−222−2−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000000000000000
χ322222-22-22000022-2-22222−2−222−2−2222200-20000-22−22−2-2-2000022−2−222−2−222−2−222−2−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000000000000000
χ332222-22-22000022-2-222−2−222−2−222222200-20000-2−22−22-2-20000−2−222−2−222−2−222−2−222ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000000000000000
χ342222-22-22000022-2-222−2−222−2−222222200-20000-2−22−22-2-20000−2−222−2−222−2−222−2−222−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000000000000000
χ352222-22-220000-2-2222222−2−222−2−2-2-2-2-200-20000-2−22−2222000022−2−222−2−2−2−222−2−222−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000000000000000
χ362222-22-220000-2-2222222−2−222−2−2-2-2-2-200-20000-2−22−2222000022−2−222−2−2−2−222−2−222ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000000000000000
χ372222-22-220000-2-22222−2−222−2−222-2-2-2-200-20000-22−22−2220000−2−222−2−22222−2−222−2−2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000000000000000
χ382222-22-220000-2-22222−2−222−2−222-2-2-2-200-20000-22−22−2220000−2−222−2−22222−2−222−2−2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000000000000000
χ3922-2-222-2200002i−2i−2i2i-2-222−2−2−2−2222i2i−2i−2i0020000-2i2−i2−i2i2−2i2i000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000000000000000
χ4022-2-222-2200002i−2i−2i2i-2-222−2−2−2−2222i2i−2i−2i0020000-2i2−i2−i2i2−2i2i000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000000000000000
χ4122-2-222-2200002i−2i−2i2i-2-2−2−22222−2−22i2i−2i−2i0020000-2−i2i2i2−i2−2i2i0000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000000000000000
χ4222-2-222-2200002i−2i−2i2i-2-2−2−22222−2−22i2i−2i−2i0020000-2−i2i2i2−i2−2i2i0000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000000000000000
χ4322-2-222-220000−2i2i2i−2i-2-222−2−2−2−222−2i−2i2i2i0020000-2−i2i2i2−i22i−2i000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000000000000000
χ4422-2-222-220000−2i2i2i−2i-2-222−2−2−2−222−2i−2i2i2i0020000-2−i2i2i2−i22i−2i000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000000000000000
χ4522-2-222-220000−2i2i2i−2i-2-2−2−22222−2−2−2i−2i2i2i0020000-2i2−i2−i2i22i−2i0000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000000000000000
χ4622-2-222-220000−2i2i2i−2i-2-2−2−22222−2−2−2i−2i2i2i0020000-2i2−i2−i2i22i−2i0000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000000000000000
χ4722-2-2-222222-2-22i−2i2i−2i-2-2-2-2-2-222222i2i−2i−2i2i−2i-22i2i−2i−2i2−2i−2i2i2i2i−2i22-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ4822-2-2-222222-2-2−2i2i−2i2i-2-2-2-2-2-22222−2i−2i2i2i−2i2i-2−2i−2i2i2i22i2i−2i−2i−2i2i22-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
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χ894-4−4i4i0-20222−222i2−2i200002i−2i−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ10−2ζ26−2ζ10+2ζ26−2ζ14+2ζ462ζ14−2ζ46000ζ8−ζ28−ζ40+ζ44−ζ8+ζ28+ζ40−ζ44ζ8+ζ28−ζ40−ζ44−ζ8−ζ28+ζ40+ζ440000000−22−i2i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11+ζ25−ζ41−ζ43−ζ11−ζ25+ζ41+ζ43ζ13−ζ29+ζ31−ζ47−ζ13+ζ29−ζ31+ζ47−ζ13+ζ29+ζ31−ζ47ζ13−ζ29−ζ31+ζ47ζ11−ζ25+ζ41−ζ43−ζ11+ζ25−ζ41+ζ4300000000000000000000000000000000
χ904-4−4i4i0-20222−222i2−2i200002i−2i−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ10+2ζ262ζ10−2ζ262ζ14−2ζ46−2ζ14+2ζ46000−ζ8+ζ28+ζ40−ζ44ζ8−ζ28−ζ40+ζ44−ζ8−ζ28+ζ40+ζ44ζ8+ζ28−ζ40−ζ440000000−22−i2i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11−ζ25+ζ41+ζ43ζ11+ζ25−ζ41−ζ43−ζ13+ζ29−ζ31+ζ47ζ13−ζ29+ζ31−ζ47ζ13−ζ29−ζ31+ζ47−ζ13+ζ29+ζ31−ζ47−ζ11+ζ25−ζ41+ζ43ζ11−ζ25+ζ41−ζ4300000000000000000000000000000000
χ914-4−4i4i0-20222−222i2−2i200002i−2i2ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ10−2ζ26−2ζ10+2ζ26−2ζ14+2ζ462ζ14−2ζ46000ζ8−ζ28−ζ40+ζ44−ζ8+ζ28+ζ40−ζ44ζ8+ζ28−ζ40−ζ44−ζ8−ζ28+ζ40+ζ440000000−22−i2i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11−ζ25+ζ41+ζ43ζ11+ζ25−ζ41−ζ43−ζ13+ζ29−ζ31+ζ47ζ13−ζ29+ζ31−ζ47ζ13−ζ29−ζ31+ζ47−ζ13+ζ29+ζ31−ζ47−ζ11+ζ25−ζ41+ζ43ζ11−ζ25+ζ41−ζ4300000000000000000000000000000000
χ924-4−4i4i0-20222−222i2−2i200002i−2i2ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ10+2ζ262ζ10−2ζ262ζ14−2ζ46−2ζ14+2ζ46000−ζ8+ζ28+ζ40−ζ44ζ8−ζ28−ζ40+ζ44−ζ8−ζ28+ζ40+ζ44ζ8+ζ28−ζ40−ζ440000000−22−i2i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11+ζ25−ζ41−ζ43−ζ11−ζ25+ζ41+ζ43ζ13−ζ29+ζ31−ζ47−ζ13+ζ29−ζ31+ζ47−ζ13+ζ29+ζ31−ζ47ζ13−ζ29−ζ31+ζ47ζ11−ζ25+ζ41−ζ43−ζ11+ζ25−ζ41+ζ4300000000000000000000000000000000
χ934-4−4i4i0-202−2222−2i22i200002i−2i2ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ10−2ζ26−2ζ10+2ζ26−2ζ14+2ζ462ζ14−2ζ46000−ζ8+ζ28+ζ40−ζ44ζ8−ζ28−ζ40+ζ44−ζ8−ζ28+ζ40+ζ44ζ8+ζ28−ζ40−ζ4400000002−2i2−i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ13−ζ29+ζ31−ζ47−ζ13+ζ29−ζ31+ζ47−ζ11−ζ25+ζ41+ζ43ζ11+ζ25−ζ41−ζ43−ζ11+ζ25−ζ41+ζ43ζ11−ζ25+ζ41−ζ43−ζ13+ζ29+ζ31−ζ47ζ13−ζ29−ζ31+ζ4700000000000000000000000000000000
χ944-4−4i4i0-202−2222−2i22i200002i−2i2ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ10+2ζ262ζ10−2ζ262ζ14−2ζ46−2ζ14+2ζ46000ζ8−ζ28−ζ40+ζ44−ζ8+ζ28+ζ40−ζ44ζ8+ζ28−ζ40−ζ44−ζ8−ζ28+ζ40+ζ4400000002−2i2−i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ13+ζ29−ζ31+ζ47ζ13−ζ29+ζ31−ζ47ζ11+ζ25−ζ41−ζ43−ζ11−ζ25+ζ41+ζ43ζ11−ζ25+ζ41−ζ43−ζ11+ζ25−ζ41+ζ43ζ13−ζ29−ζ31+ζ47−ζ13+ζ29+ζ31−ζ4700000000000000000000000000000000
χ954-4−4i4i0-202−2222−2i22i200002i−2i−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ10−2ζ26−2ζ10+2ζ26−2ζ14+2ζ462ζ14−2ζ46000−ζ8+ζ28+ζ40−ζ44ζ8−ζ28−ζ40+ζ44−ζ8−ζ28+ζ40+ζ44ζ8+ζ28−ζ40−ζ4400000002−2i2−i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ13+ζ29−ζ31+ζ47ζ13−ζ29+ζ31−ζ47ζ11+ζ25−ζ41−ζ43−ζ11−ζ25+ζ41+ζ43ζ11−ζ25+ζ41−ζ43−ζ11+ζ25−ζ41+ζ43ζ13−ζ29−ζ31+ζ47−ζ13+ζ29+ζ31−ζ4700000000000000000000000000000000
χ964-4−4i4i0-202−2222−2i22i200002i−2i−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ10+2ζ262ζ10−2ζ262ζ14−2ζ46−2ζ14+2ζ46000ζ8−ζ28−ζ40+ζ44−ζ8+ζ28+ζ40−ζ44ζ8+ζ28−ζ40−ζ44−ζ8−ζ28+ζ40+ζ4400000002−2i2−i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ13−ζ29+ζ31−ζ47−ζ13+ζ29−ζ31+ζ47−ζ11−ζ25+ζ41+ζ43ζ11+ζ25−ζ41−ζ43−ζ11+ζ25−ζ41+ζ43ζ11−ζ25+ζ41−ζ43−ζ13+ζ29+ζ31−ζ47ζ13−ζ29−ζ31+ζ4700000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.